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144454340 = 22519973919
BaseRepresentation
bin10001001110000…
…11001011000100
3101001211001002202
420213003023010
5243440014330
622200054032
73402561452
oct1047031304
9331731082
10144454340
11745a4758
1240464318
1323c09954
14152839d2
15ca36445
hex89c32c4

144454340 has 48 divisors (see below), whose sum is σ = 322694400. Its totient is φ = 54162432.

The previous prime is 144454319. The next prime is 144454351. The reversal of 144454340 is 43454441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34901 + ... + 38819.

It is an arithmetic number, because the mean of its divisors is an integer number (6722800).

Almost surely, 2144454340 is an apocalyptic number.

144454340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144454340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161347200).

144454340 is an abundant number, since it is smaller than the sum of its proper divisors (178240060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144454340 is a wasteful number, since it uses less digits than its factorization.

144454340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 144454340 is about 12018.9159244917. The cubic root of 144454340 is about 524.6989536348.

The spelling of 144454340 in words is "one hundred forty-four million, four hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 970 1843 1940 3686 3919 7372 7838 9215 15676 18430 19595 36860 39190 74461 78380 148922 297844 372305 380143 744610 760286 1489220 1520572 1900715 3801430 7222717 7602860 14445434 28890868 36113585 72227170 144454340